If force (F), velocity (v) and time (T) are taken as fundamental units, then the dimensions of mass are

• [FvT^-1]

• [FvT^-2]

• [Fv^-1T^-1]

• [Fv^-1T]

A projectile is fired from the surface of the earth with a velocity of 5 m/s and angle  with the horizontal. Another projectile fired from another planet with a velocity of 3 m/s at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is,

• 3.5

• 5.9

• 16.3

• 110.8

A particle is moving such that its position coordinates (x,y) are (2m, 3m) at time t = 0, (6m, 7m) at time t = 2 sec and (13 m, 14m) at time t= 5 sec. Average velocity vector (v_av) from t = 0 to t = 5 s is,

• 
• 
• 
• 

D.

Average velocity vector,

A system consists of three masses m₁, m₂ and m₃ connected by a string passing over a pulley P. The mass m₁ hangs freely and m₂ and m₃ are on a rough horizontal table (the coefficient of friction= ). the pulley is frictionless and of negligible mass. The downward acceleration of mass m₁ is,

• 
• 
• 
• 

C.

First of all consider the forces on the blocks,

For the 1st block,
mg - T₁ = m x a        ... (i)
Let us consider second and third block as a system,
Then,
T₁ -  = 2m x a
mg () = 3m x a
 

The force F acting on a particle of mass m is indicated by the force-time graph as shown below. The climate change in momentum of the particle over the time interval from zero to 8 s is,

• 24 Ns

• 20 Ns

• 12 Ns

• 6 Ns